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Volumn 35, Issue 5, 1988, Pages 593-611

A Normal Mode Expansion for Piezoelectric Plates and Certain of Its Applications

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; MATHEMATICAL TECHNIQUES -- DIFFERENTIAL EQUATIONS; RESONATORS;

EID: 0024068968     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.8038     Document Type: Article
Times cited : (21)

References (14)
  • 1
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    • Mindlin, R.D.1
  • 2
    • 0000895524 scopus 로고
    • Forced vibrations of piezoelectric crystal plates
    • H.F. Tiersten and R.D. Mindlin, “Forced vibrations of piezoelectric crystal plates,” Quart. Appl. Math., vol. 20, no. 2, pp. 107–119, 1962.
    • (1962) Quart. Appl. Math. , vol.20 , Issue.2 , pp. 107-119
    • Tiersten, H.F.1    Mindlin, R.D.2
  • 3
    • 0015346246 scopus 로고
    • An approximation theory for high-frequency vibrations of elastic plates
    • P.C.Y. Lee and Z. Nikodem, “An approximation theory for high-frequency vibrations of elastic plates,” Int. J. Solids Structures, vol. 8, no. 5, pp. 581–612, 1972.
    • (1972) Int. J. Solids Structures , vol.8 , Issue.5 , pp. 581-612
    • Lee, P.C.Y.1    Nikodem, Z.2
  • 4
    • 0016025794 scopus 로고
    • Approximate theory of vibration of crystal plates at high frequencies
    • Z. Nikodem and P.C.Y. Lee, “Approximate theory of vibration of crystal plates at high frequencies,” Int. J. Solids Structures, vol. 10, no. 2, pp. 177–196, 1974.
    • (1974) Int. J. Solids Structures , vol.10 , Issue.2 , pp. 177-196
    • Nikodem, Z.1    Lee, P.C.Y.2
  • 5
    • 3643049099 scopus 로고
    • An approximate theory for the high-frequency vibrations of piezoelectric crystal plates
    • S. Syngellakis and P.C.Y. Lee, “An approximate theory for the high-frequency vibrations of piezoelectric crystal plates,” in Proc. 30th Annu. Freq. Contr. Symp., 1976, pp. 184–190.
    • (1976) Proc. 30th Annu. Freq. Contr. Symp. , pp. 184-190
    • Syngellakis, S.1    Lee, P.C.Y.2
  • 6
    • 84953660250 scopus 로고
    • Thickness vibrations of piezoelectric plates
    • Jan.
    • H.F. Tiersten, “Thickness vibrations of piezoelectric plates,” J. Acous. Soc. Am., vol. 35, no. 1, pp. 53–58, Jan. 1963.
    • (1963) J. Acous. Soc. Am. , vol.35 , Issue.1 , pp. 53-58
    • Tiersten, H.F.1
  • 7
    • 0014705828 scopus 로고
    • Admittance of piezoelectric plates vibrating under the perpendicular field excitation
    • T. Yamada and N. Niizeki, “Admittance of piezoelectric plates vibrating under the perpendicular field excitation,” in Proc. IEEE, 1970, pp. 941–942.
    • (1970) Proc. IEEE , pp. 941-942
    • Yamada, T.1    Niizeki, N.2
  • 8
    • 0016947524 scopus 로고
    • Analysis of trapped-energy resonators operating in overtones of coupled thickness shear and thickness twist
    • H.F. Tiersten, “Analysis of trapped-energy resonators operating in overtones of coupled thickness shear and thickness twist,” J. Acoust. Soc. Am., vol. 59, no. 4, pp. 879–888, 1976.
    • (1976) J. Acoust. Soc. Am. , vol.59 , Issue.4 , pp. 879-888
    • Tiersten, H.F.1
  • 9
    • 0020234716 scopus 로고
    • An analysis of contoured SC-cut quartz crystal resonators
    • H.F. Tiersten, “An analysis of contoured SC-cut quartz crystal resonators,” in Proc. 36th Ann. Freq. Contr. Symp., 1982, pp. 37–45.
    • (1982) Proc. 36th Ann. Freq. Contr. Symp. , pp. 37-45
    • Tiersten, H.F.1
  • 10
    • 84939358605 scopus 로고
    • A variational method for the design of trapped energy resonators
    • R.C. Peach, “A variational method for the design of trapped energy resonators,” in Proc. 39th Annu. Freq. Contr. Symp., 1985, pp. 392399.
    • (1985) Proc. 39th Annu. Freq. Contr. Symp. , pp. 392399
    • Peach, R.C.1
  • 11
    • 0003437218 scopus 로고
    • 2nd ed. Reading, MA: Addi-sion-Wesley
    • H. Goldstein, Classical Mechanics, 2nd ed. Reading, MA: Addi-sion-Wesley, 1980.
    • (1980) Classical Mechanics
    • Goldstein, H.1
  • 12
    • 84931633022 scopus 로고
    • Standards on Piezoelectric Crystals
    • “Standards on Piezoelectric Crystals,” Proc. IRE, 1949, vol. 37, pp. 1378–1395.
    • (1949) Proc. IRE , vol.37 , pp. 1378-1395
  • 13
    • 84937351471 scopus 로고
    • Higher-order temperature coefficients of the elastic stiffnesses and compliances of alpha-quartz
    • R. Bechmann, A.D. Ballato, and T.J. Lukaszek, “Higher-order temperature coefficients of the elastic stiffnesses and compliances of alpha-quartz,” Proc. IRE, 1962, vol. 50, pp. 1812–1822.
    • (1962) Proc. IRE , vol.50 , pp. 1812-1822
    • Bechmann, R.1    Ballato, A.D.2    Lukaszek, T.J.3
  • 14
    • 0018482603 scopus 로고
    • An analysis of contoured crystal resonators operating in overtones of coupled thickness shear and thickness twist
    • H.F. Tiersten and R.C. Smythe, “An analysis of contoured crystal resonators operating in overtones of coupled thickness shear and thickness twist,” J. Acoust. Soc. Am., vol. 65, no. 6, pp. 1455–1460, 1979.
    • (1979) J. Acoust. Soc. Am. , vol.65 , Issue.6 , pp. 1455-1460
    • Tiersten, H.F.1    Smythe, R.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.